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Asymptotic properties of the connectivity number of random railways

Part of: Combinatorial probability Graph theory Limit theorems

Published online by Cambridge University Press:  01 July 2016

Hans Garmo
Hans Garmo*
Affiliation:
Uppsala University
*
∗ Postal address: Department of Mathematics, Uppsala University, Box 480, S75106 Uppsala, Sweden.
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Abstract

In a cubic multigraph certain restrictions on the paths are made to define what is called a railway. On the tracks in the railway (edges in the multigraph) an equivalence relation is defined. The number of equivalence classes induced by this relation is investigated for a random railway achieved from a random cubic multigraph, and the asymptotic distribution of this number is derived as the number of vertices tends to infinity.

Keywords

Random railwayconnectivity numberbinary branching processcubic multigraph

MSC classification

Primary: 60F05: Central limit and other weak theorems 05C40: Connectivity 05C80: Random graphs
Secondary: 60C05: Combinatorial probability 05C38: Paths and cycles
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 31 , Issue 3 , September 1999 , pp. 720 - 741
Copyright
Copyright © Applied Probability Trust 1999 

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